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A022352 Fibonacci sequence beginning 0, 18. 2
0, 18, 18, 36, 54, 90, 144, 234, 378, 612, 990, 1602, 2592, 4194, 6786, 10980, 17766, 28746, 46512, 75258, 121770, 197028, 318798, 515826, 834624, 1350450, 2185074, 3535524, 5720598, 9256122, 14976720 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..30.

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (1, 1).

FORMULA

G.f.: 18*x/(1-x-x^2). - Philippe Deléham, Nov 20 2008

a(n) = 9*(Lucas(n) - Fibonacci(n)). - Harvey P. Dale, Oct 09 2013

MATHEMATICA

a={}; b=0; c=18; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 4!}]; a (* Vladimir Joseph Stephan Orlovsky, Sep 17 2008 *)

LinearRecurrence[{1, 1}, {0, 18}, 40] (* or *) Table[9(LucasL[n]- Fibonacci[n]), {n, 40}] (* Harvey P. Dale, Oct 09 2013 *)

CROSSREFS

Cf. A258160.

Cf. sequences with formula Fibonacci(n+k)+Fibonacci(n-k) listed in A280154.

Sequence in context: A158910 A243097 A040307 * A211411 A050686 A165839

Adjacent sequences:  A022349 A022350 A022351 * A022353 A022354 A022355

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 28 12:53 EDT 2017. Contains 289889 sequences.